Finding the Third Proportional to 17,489,404,638 and 37,765,665,162

Step by Step Solution

1. Step 1: Write the proportion equation
   17,489,404,638 : 37,765,665,162 = 37,765,665,162 : x
2. Step 2: Convert to fraction form
   17,489,404,638/37,765,665,162 = 37,765,665,162/x
3. Step 3: Cross multiply
   17,489,404,638x = 37,765,665,162 × 37,765,665,162
4. Step 4: Simplify right side
   17,489,404,638x = 1,426,245,465,128,300,445,696
5. Step 5: Solve for x
   x = 1,426,245,465,128,300,445,696/17,489,404,638
6. Step 6: Final answer
   x = 81,549,114,715.40